5256720 has 180 divisors, whose sum is σ = 20673900. Its totient is φ = 1193472.

The previous prime is 5256697. The next prime is 5256737. The reversal of 5256720 is 276525.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 4064256 = 1092^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35206 + ... + 35354.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

Almost surely, 2^5256720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10336950).

5256720 is an abundant number, since it is smaller than the sum of its proper divisors (15417180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5256720 is a wasteful number, since it uses less digits than its factorization.

5256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5256720 is about 2292.7538027446. The cubic root of 5256720 is about 173.8754558623.

The spelling of 5256720 in words is "five million, two hundred fifty-six thousand, seven hundred twenty".